First variation

In applied mathematics and the calculus of variations, the first variation of a functional J(y) is defined as the linear functional mapping the… (More)
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2010
2010
We extend results proved by the second author (Amer. J. Math., 2009) for nonnegatively curved Alexandrov spaces to general… (More)
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2010
2010
This paper presents an accurate and stable numerical scheme for computation of the first variation of the Dirichlet–Neumann… (More)
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2010
2010
The function u(t) need not be a member of C, but can be any Borel measurable function defined on OSj/^1, and may even be… (More)
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2010
2010
Abstract. We consider general surface energies, which are weighted integrals over a closed surface with a weight function… (More)
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Highly Cited
2008
Highly Cited
2008
In this paper, we propose a natural framework that allows any region-based segmentation energy to be re-formulated in a local way… (More)
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2008
2008
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  • 2008
In this work it is shown that for every integral n varifold in an open subset U of Rn+m, n,m ∈ N, of locally bounded first… (More)
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2008
2008
Variational cost functions that are based on pairwise similarity between pixels can be minimized within level set framework… (More)
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2004
2004
We establish the various relationships that exist among the integral transform Ᏺ α,β F , the convolution product (F * G) α , and… (More)
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2004
2004
We present two important variations on a recently successful bloat control technique, Dynamic Maximum Tree Depth, intended at… (More)
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1999
1999
This paper presents a geometric-variational approach to continuous and discrete second-order field theories following the… (More)
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